Question

Find the midpoint of the line segment connecting A(5,3) and B(3,-5).(1,-1)(4,-1)(-1,1)(4,1)

Answer 1

The formula to find the midpoint of the line segment from A(x₁,y₁) to B(x₂,y₂) is:

$\text{Midpoint }=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

In this case, we have:

$\begin{gathered} A\mleft(5,3\mright) \\ B\mleft(3,-5\mright) \\ \text{Midpoint }=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ \text{Midpoint }=(\frac{5+3}{2},\frac{3-5}{2}) \\ \text{Midpoint }=(\frac{8}{2},\frac{-2}{2}) \\ \text{Midpoint }=(4,-1) \end{gathered}$

Therefore, the midpoint of the line segment connecting A and B is (4,-1).